{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "cell_id": "8962af0822344f1c878e6e7107e5caad",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 73
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 297,
    "execution_start": 1672245304248,
    "source_hash": "4e809dbd",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据集大小： 200\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import ListedColormap\n",
    "from tqdm import tqdm, trange\n",
    "\n",
    "data = np.loadtxt('linear.csv', delimiter=',')\n",
    "print('数据集大小：', len(data))\n",
    "x = data[:, :2]\n",
    "y = data[:, 2]\n",
    "\n",
    "# 数据集可视化\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], color='blue', marker='x', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "cell_id": "9805bcd6cc7c42ce8d4c8e3d18dba16a",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 85
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 17,
    "execution_start": 1672245308757,
    "id": "E3000AFB57224AF48C8554F24E28782A",
    "jupyter": {},
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "469b796c",
    "tags": []
   },
   "outputs": [],
   "source": [
    "def SMO(x, y, ker, C, max_iter):\n",
    "    '''\n",
    "    SMO算法\n",
    "    x，y：样本的值和类别\n",
    "    ker：核函数，与线性回归中核函数的含义相同\n",
    "    C：惩罚系数\n",
    "    max_iter：最大迭代次数\n",
    "    '''\n",
    "    # 初始化参数\n",
    "    m = x.shape[0]\n",
    "    alpha = np.zeros(m)\n",
    "        \n",
    "    # 预先计算所有向量的两两内积，减少重复计算\n",
    "    K = np.zeros((m, m))\n",
    "    for i in range(m):\n",
    "        for j in range(m):\n",
    "            K[i, j] = ker(x[i], x[j])\n",
    "    \n",
    "    for l in trange(max_iter):\n",
    "        # 开始迭代\n",
    "        for i in range(m):\n",
    "            # 有m个参数，每一轮迭代中依次更新\n",
    "            # 固定参数alpha_i与另一个随机参数alpha_j，并且保证i与j不相等\n",
    "            j = np.random.choice([l for l in range(m) if l != i])\n",
    "            \n",
    "            # 用-b/2a更新alpha_i的值\n",
    "            eta = K[j, j] + K[i, i] - 2 * K[i, j] # 分母\n",
    "            e_i = np.sum(y * alpha * K[:, i]) - y[i] # 分子\n",
    "            e_j = np.sum(y * alpha * K[:, j]) - y[j]\n",
    "            alpha_i = alpha[i] + y[i] * (e_j - e_i) / (eta + 1e-5) # 防止除以0\n",
    "            zeta = alpha[i] * y[i] + alpha[j] * y[j]\n",
    "\n",
    "            # 将alpha_i和对应的alpha_j保持在[0,C]区间\n",
    "            # 0 <= (zeta - y_j * alpha_j) / y_i <= C\n",
    "            if y[i] == y[j]:\n",
    "                lower = max(0, zeta / y[i] - C)\n",
    "                upper = min(C, zeta / y[i])\n",
    "            else:\n",
    "                lower = max(0, zeta / y[i])\n",
    "                upper = min(C, zeta / y[i] + C)\n",
    "            alpha_i = np.clip(alpha_i, lower, upper)\n",
    "            alpha_j = (zeta - y[i] * alpha_i) / y[j]\n",
    "            \n",
    "            # 更新参数\n",
    "            alpha[i], alpha[j] = alpha_i, alpha_j\n",
    "\n",
    "    return alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "cell_id": "56c51a7cbb4e40f9bd10ba190253640e",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 97
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 23381,
    "execution_start": 1672245314515,
    "source_hash": "87867c13",
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:43<00:00, 23.24it/s]\n"
     ]
    }
   ],
   "source": [
    "# 设置超参数\n",
    "C = 1e8 # 由于数据集完全线性可分，我们不引入松弛变量\n",
    "max_iter = 1000\n",
    "np.random.seed(0)\n",
    "\n",
    "alpha = SMO(x, y, ker=np.inner, C=C, max_iter=max_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "cell_id": "4b0179fcf4c44103ac5eb4d75712ffb6",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 103
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 330,
    "execution_start": 1672245341358,
    "source_hash": "4c177e12",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "支持向量个数： 6\n",
      "参数： [-1.0211867   1.66445549] -1.312702097039547\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用alpha计算w，b和支持向量\n",
    "sup_idx = alpha > 1e-5 # 支持向量的系数不为零\n",
    "print('支持向量个数：', np.sum(sup_idx))\n",
    "w = np.sum((alpha[sup_idx] * y[sup_idx]).reshape(-1, 1) * x[sup_idx], axis=0)\n",
    "wx = x @ w.reshape(-1, 1)\n",
    "b = -0.5 * (np.max(wx[y == -1]) + np.min(wx[y == 1]))\n",
    "print('参数：', w, b)\n",
    "\n",
    "# 绘图\n",
    "X = np.linspace(np.min(x[:, 0]), np.max(x[:, 0]), 100)\n",
    "Y = -(w[0] * X + b) / (w[1] + 1e-5)\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.plot(X, Y, color='black')\n",
    "# 用圆圈标记出支持向量\n",
    "plt.scatter(x[sup_idx, 0], x[sup_idx, 1], marker='o', color='none', \n",
    "    edgecolor='purple', s=150, label='support vectors')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "cell_id": "8f9814c7a89245909089346f793fb26a",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 115
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 397,
    "execution_start": 1672245349116,
    "source_hash": "b91962e3",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据集大小： 194\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.loadtxt('spiral.csv', delimiter=',')\n",
    "print('数据集大小：', len(data))\n",
    "x = data[:, :2]\n",
    "y = data[:, 2]\n",
    "\n",
    "# 数据集可视化\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.axis('square')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "cell_id": "7e63e94e735c47fd948c2a4913015ac5",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 139
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 0,
    "execution_start": 1672245355839,
    "id": "428FF466799F45CBBF045822B85FD8EC",
    "jupyter": {},
    "notebookId": "603654c929fbc20015fb267b",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "99826eae",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 简单多项式核\n",
    "def simple_poly_kernel(d):\n",
    "    def k(x, y): \n",
    "        return np.inner(x, y) ** d\n",
    "    return k\n",
    "\n",
    "# RBF核\n",
    "def rbf_kernel(sigma):\n",
    "    def k(x, y):\n",
    "        return np.exp(-np.inner(x - y, x - y) / (2.0 * sigma ** 2))\n",
    "    return k\n",
    "\n",
    "# 余弦相似度核\n",
    "def cos_kernel(x, y):\n",
    "    return np.inner(x, y) / np.linalg.norm(x, 2) / np.linalg.norm(y, 2)\n",
    "\n",
    "# sigmoid核\n",
    "def sigmoid_kernel(beta, c):\n",
    "    def k(x, y):\n",
    "        return np.tanh(beta * np.inner(x, y) + c)\n",
    "    return k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "cell_id": "d101c53ea5d040c58bdea1583b466d87",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 151
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 97244,
    "execution_start": 1672245358792,
    "source_hash": "63d8ce81",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Poly(3)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████| 500/500 [00:20<00:00, 24.72it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： RBF(0.1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████| 500/500 [00:18<00:00, 27.42it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Cos\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████| 500/500 [00:18<00:00, 26.39it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Sigmoid(1,-1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████████████████████████████████████████████| 500/500 [00:20<00:00, 24.94it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kernels = [\n",
    "    simple_poly_kernel(3), \n",
    "    rbf_kernel(0.1), \n",
    "    cos_kernel, \n",
    "    sigmoid_kernel(1, -1)\n",
    "]\n",
    "ker_names = ['Poly(3)', 'RBF(0.1)', 'Cos', 'Sigmoid(1,-1)']\n",
    "C = 1e8\n",
    "max_iter = 500\n",
    "\n",
    "# 绘图准备，构造网格\n",
    "plt.figure()\n",
    "fig, axs = plt.subplots(2, 2, figsize=(10, 10))\n",
    "axs = axs.flatten()\n",
    "cmap = ListedColormap(['coral', 'royalblue'])\n",
    "\n",
    "# 开始求解 SVM\n",
    "for i in range(len(kernels)):\n",
    "    print('核函数：', ker_names[i])\n",
    "    alpha = SMO(x, y, kernels[i], C=C, max_iter=max_iter)\n",
    "    sup_idx = alpha > 1e-5 # 支持向量的系数不为零\n",
    "    sup_x = x[sup_idx] # 支持向量\n",
    "    sup_y = y[sup_idx]\n",
    "    sup_alpha = alpha[sup_idx]\n",
    "\n",
    "    # 用支持向量计算 w^T*x\n",
    "    def wx(x_new):\n",
    "        s = 0\n",
    "        for xi, yi, ai in zip(sup_x, sup_y, sup_alpha):\n",
    "            s += yi * ai * kernels[i](xi, x_new)\n",
    "        return s\n",
    "\n",
    "    # 计算b*\n",
    "    neg = [wx(xi) for xi in sup_x[sup_y == -1]]\n",
    "    pos = [wx(xi) for xi in sup_x[sup_y == 1]]\n",
    "    b = -0.5 * (np.max(neg) + np.min(pos))\n",
    "\n",
    "    # 构造网格并用 SVM 预测分类\n",
    "    G = np.linspace(-1.5, 1.5, 100)\n",
    "    G = np.meshgrid(G, G)\n",
    "    X = np.array([G[0].flatten(), G[1].flatten()]).T # 转换为每行一个向量的形式\n",
    "    Y = np.array([wx(xi) + b for xi in X])\n",
    "    Y[Y < 0] = -1\n",
    "    Y[Y >= 0] = 1\n",
    "    Y = Y.reshape(G[0].shape)\n",
    "    axs[i].contourf(G[0], G[1], Y, cmap=cmap, alpha=0.5)\n",
    "    # 绘制原数据集的点\n",
    "    axs[i].scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "    axs[i].scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "    axs[i].set_title(ker_names[i])\n",
    "    axs[i].set_xlabel(r'$x_1$')\n",
    "    axs[i].set_ylabel(r'$x_2$')\n",
    "    axs[i].legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "cell_id": "d661f61da2c94cdb88fbd59c170cfe20",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 163
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 1954,
    "execution_start": 1672245464005,
    "id": "326DF755FA4A4F168D190F426525A541",
    "jupyter": {},
    "notebookId": "603654c929fbc20015fb267b",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "c054d8c",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 从sklearn.svm中导入SVM分类器\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# 定义SVM模型，包括定义使用的核函数与参数信息\n",
    "model = SVC(kernel='rbf', gamma=50, tol=1e-6)\n",
    "model.fit(x, y)\n",
    "\n",
    "# 绘制结果\n",
    "fig = plt.figure(figsize=(6,6))\n",
    "G = np.linspace(-1.5, 1.5, 100)\n",
    "G = np.meshgrid(G, G)\n",
    "X = np.array([G[0].flatten(), G[1].flatten()]).T # 转换为每行一个向量的形式\n",
    "Y = model.predict(X)\n",
    "Y = Y.reshape(G[0].shape)\n",
    "plt.contourf(G[0], G[1], Y, cmap=cmap, alpha=0.5)\n",
    "# 绘制原数据集的点\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "deepnote": {},
  "deepnote_app_layout": "article",
  "deepnote_execution_queue": [],
  "deepnote_notebook_id": "3966a1559ea24b1584c9dab72aa6d29c",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
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